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51442555524415 = 51110171871288519
BaseRepresentation
bin10111011001001011001110…
…01111111001010100111111
320202010212020010212200120121
423230211213033321110333
523220313323203240130
6301224214520355411
713556413324154356
oct1354454717712477
9222125203780517
1051442555524415
1115433735541770
125929ab3915b67
13229202097c613
14c9bb9396699d
155e3213cedd7a
hex2ec9673f953f

51442555524415 has 32 divisors (see below), whose sum is σ = 68019259645440. Its totient is φ = 37037161392000.

The previous prime is 51442555524377. The next prime is 51442555524421.

51442555524415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51442555524415 - 239 = 50892799710527 is a prime.

It is a super-2 number, since 2×514425555244152 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39279526 + ... + 40568044.

It is an arithmetic number, because the mean of its divisors is an integer number (2125601863920).

Almost surely, 251442555524415 is an apocalyptic number.

51442555524415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51442555524415 is a deficient number, since it is larger than the sum of its proper divisors (16576704121025).

51442555524415 is a wasteful number, since it uses less digits than its factorization.

51442555524415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295823.

The product of its digits is 16000000, while the sum is 52.

The spelling of 51442555524415 in words is "fifty-one trillion, four hundred forty-two billion, five hundred fifty-five million, five hundred twenty-four thousand, four hundred fifteen".

Divisors: 1 5 11 55 101 505 1111 5555 7187 35935 79057 395285 725887 1288519 3629435 6442595 7984757 14173709 39923785 70868545 130140419 650702095 1431544609 7157723045 9260586053 46302930265 101866446583 509332232915 935319191353 4676595956765 10288511104883 51442555524415